What is the Least Common Multiple of 78780 and 78795?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 78780 and 78795 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78780 and 78795, than apply into the LCM equation.

GCF(78780,78795) = 15
LCM(78780,78795) = ( 78780 × 78795) / 15
LCM(78780,78795) = 6207470100 / 15
LCM(78780,78795) = 413831340

Least Common Multiple (LCM) of 78780 and 78795 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78780 and 78795. First we will calculate the prime factors of 78780 and 78795.

Prime Factorization of 78780

Prime Factorization of 78795

Now multiplying the highest exponent prime factors to calculate the LCM of 78780 and 78795.

LCM(78780,78795) = 2² × 3² × 5¹ × 13¹ × 101¹ × 17¹ × 103¹
LCM(78780,78795) = 413831340